固体物理学第2版

Preface to the second edition
Preface to the first edition
1 Electrons in One-Dimensional Periodic Potentials
1．1 The Bloch Theorem for One-Dimensional Periodicity
1．2 Energy Levels of a Single Quantum Well and of a Periodic Array of Quantum Wells
1．3 Transfer Matrix， Resonant Tunneling， and Energy Bands
1．4 The Tight-Binding Model
1．5 Plane Waves and Nearly Free-Electron Model
1．6 Some Dynamical Aspects of Electrons in Band Theory
Appendix A． Solved Problems and Complements
Further Reading

2 Geometrical Description of Crystals： Direct and Reciprocal Lattices
2．1 Simple Lattices and Composite Lattices
2．2 Geometrical Description of Some Crystal Structures
2．3 Wigner-Seitz Primitive Cells
2．4 Reciprocal Lattices
2．5 Brillouin Zones
2．6 Translational Symmetry and Quantum Mechanical Aspects
2．7 Density-of-States and Critical Points
Further Reading

3 The Sommerfeld Free-Electron Theory of Metals
3．1 Quantum Theory of the Free-Electron Gas
3．2 Fermi-Dirac Distribution Function and Chemical Potential
3．3 Electronic Specific Heat in Metals and Thermodynamic Functions
3．4 Thermionic Emission from Metals
Appendix A． Outline of Statistical Physics and Thermodynamic Relations
Appendix B． Fermi-Dirac and Bose-Einstein Statistics for Independent Particles
Appendix C． Modified Fermi-Dirac Statistics in a Model of Correlation Effects
Further Reading

4 The One-Electron Approximation and Beyond
4．1 Introductory Remarks on the Many-Electron Problem
4．2 The Hartree Equations
4．3 Identical Particles and Determinantal Wavefunctions
4．4 Matrix Elements Between Determinantal States
4．5 The Hartree-Fock Equations
4．6 Overview of Approaches Beyond the One-Electron Approximation
4．7 Electronic Properties and Phase Diagram of the Homogeneous Electron Gas
4．8 The Density Functional Theory and the Kohn-Sham Equations
Appendix A． Bielectronic Integrals Among Spin Orbitals
Appendix B． Outline of Second Quantization Formalism for Identical Fermions
Appendix C． An Integral on the Fermi Sphere
Further Reading

5 Band Theory of Crystals
5．1 Basic Assumptions of the Band Theory
5．2 The Tight-Binding Method （LCAO Method）
5．3 The Orthogonalized Plane Wave （OPW） Method
5．4 The Pseudopotential Method
5．5 The Cellular Method
5．6 The Augmented Plane Wave （APW） Method
5．7 The Greens Function Method （KKR Method）
5．8 Iterative Methods in Electronic Structure Calculations
Appendix A． Matrix Elements of the Augmented Plane Wave Method
Appendix B． Solved Problems and Complements
Appendix C． Evaluation of the Structure Coefficients of the KKR Method with the Ewald Procedure
Further Reading

6 Electronic Properties of Selected Crystals
6．1 Band Structure and Cohesive Energy of Rare-Gas Solids
6．2 Electronic Properties of Ionic Crystals
6．3 Covalent Crystals with Diamond Structure
6．4 Band Structures and Fermi Surfaces of Some Metals
6．5 Carbon-Based Materials and Electronic Structure of Graphene
Appendix A． Solved Problems and Complements
Further Reading

7 Excitons， Plasmons， and Dielectric Screening in Crystals
7．1 Exciton States in Crystals
7．2 Plasmon Excitations in Crystals
7．3 Static Dielectric Screening in Metals within the Thomas-Fermi Model
7．4 The Longitudinal Dielectric Function within the Linear Response Theory
7．5 Dielectric Screening within the Lindhard Model
7．6 Quantum Expression of the Longitudinal Dielectric Function in Crystals
7．7 Surface Plasmons and Surface Polaritons
Appendix A． Friedel Sum Rule and Fumi Theorem
Appendix B． Quantum Expression of the Longitudinal Dielectric Function in Materials with the Linear Respon